It is possible to get significant differences between pairs of means using the HSD test that are not significant using the Scheffé test.

Name: It is possible to get significant differences between pairs of means using the HSD test that are not significant using the Scheffé test.
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Quizplus · Accepted Answer

The HSD test is generally more powerful than the Scheffé test, so it is possible for the HSD test to detect significant differences between pairs of means that the Scheffé test is unable to detect.

It Is Possible to Get Significant Differences Between Pairs of Means